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Finding the Fourth Proportional to 20,202.09, 30,302.65 and 5,411

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Solution

The fourth proportional to 20,202.09, 30,302.65 and 5,411 is: 8,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.09 : 30,302.65 = 5,411 : x
  2. Step 2: Convert to fraction form
    20,202.09/30,302.65 = 5,411/x
  3. Step 3: Cross multiply
    20,202.09x = 30,302.65 × 5,411
  4. Step 4: Simplify right side
    20,202.09x = 163,967,639.15
  5. Step 5: Solve for x
    x = 163,967,639.15/20,202.09
  6. Step 6: Final answer
    x = 8,116.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.